Orthogonal Polynomials and Special Functions Lecture 1: Introducing Orthogonal Polynomials

This is the first in a series of lectures intended to introduce talented undergraduate students to topics in orthogonal polynomials and special functions, with the aim of preparing for independent undergraduate mathematical research. In this video we introduce the main players in the game, orthogonal matrix polynomials, motivating their definition from the point of view of polynomial approximations.